Write the expression in the form a bi

Question

1/2 5i

and if someone could please help me with this problem

3 isqrt2/7-isqrt2

thank you

Answer 1

1/2 + 5i is already in the form a+bi.

a = 1/2 and b = 5

Perhaps you mean 1/(2+5i)?

Multiply by (2-5i)/(2-5i).

1(2-5i) / [(2+5i)(2-5i)]

= (2-5i) / (4+25)

= (2-5i)/29

= 2/29 - 5i/29

a = 2/29 and b = -5/29

For the second problem, if you mean (3+i√2) / (7-i√2), then you'll want to multiply by (7+i√2)/(7+i√2).